1. Chapter 12 Class 11 Limits and Derivatives
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  3. Ex 12.2
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Ex 12.2, 2 - Chapter 12 Class 11 Limits and Derivatives

Last updated at Dec. 16, 2024 by Teachoo

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Ex 12.2, 2 Find the derivative of x at x = 1. Let f (x) = x We need to find derivative of f(x) at x = 1 i.e. f’ (1) We know that f’ (x) = (π‘™π‘–π‘š)┬(β„Žβ†’0)⁑〖(𝑓(π‘₯ + β„Ž) βˆ’ 𝑓 (π‘₯))/β„Žγ€— Here, f(x) = x So, f(x + h) = x + h Putting values f’ (x) = lim┬(hβ†’0)⁑〖((π‘₯ + β„Ž) βˆ’ π‘₯)/β„Žγ€— = lim┬(hβ†’0)⁑〖(π‘₯ + β„Ž βˆ’ π‘₯)/β„Žγ€— = lim┬(hβ†’0)β‘γ€–β„Ž/β„Žγ€— = lim┬(hβ†’0) 1 = 1 Hence, f’(x) = 1 Putting x = 1 f’(1) = 1 So, derivative of x at x = 1 is 1
  1. Chapter 12 Class 11 Limits and Derivatives
  2. Serial order wise

    3. Ex 12.2

    Examples →
Examples →
Chapter 12 Class 11 Limits and Derivatives
Serial order wise

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo